Should the verb "to lie" or the verb "to lay" be used in this sentence?

With a triumphant grin, Sam lain his cards face up on the table and declared, "Three kings!"]]> What tense should be used for the underlined verb?

With a triumphant grin, Sam lain his cards face up on the table and declared, "Three kings!"]]> What form should be used for the underlined verb?

With a triumphant grin, Sam lain his cards face up on the table and declared, "Three kings!"]]> Say the sentence.

With a triumphant grin, Sam laid his cards face up on the table and declared, "Three kings!"]]>